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CSC 3210 Computer Organization and Programming
Chapter 1 Dr. Anu Bourgeois
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Layout of Chapter 1 Hand-programmable calculator
Fundamental definition of a computer Basic computer cycle Classic implementations of the computer Stack machine architecture Accumulator machine architecture Load/store machine architecture
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Programmable Calculators
Numeric keyboard and function keys Single register – accumulator Arithmetic logic unit – for computations Stack provides memory LIFO data structure Pushing/popping operations No addresses for the memory cells
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HP-15C Programmable Calculator
Emulator available at
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Postfix vs. Infix Postfix notation Infix notation
Operators follow operands Uses the stack to save memory No need for parenthesis Operators are between operands 3 + 4 Need to specify order of operations -- parenthesis
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y = (x-1) (x-7) (10 – 1) = 9 (10 – 7) = 3 (9 *3) = 27 (10 – 11) = -1 27/(-1) = -27 (x-11) 10 enter 1 – 7 – * 11 – /
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Stack Operations
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Use of Registers Why would we want to use registers?
Registers are provided to hold constants 10 registers – named r0 thru r9 sto 0 – stores value in r0 and leaves it on top of stack rcl copy contents of r0 to top of stack Must specify register name
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Programmable Calculators
In program mode, keystrokes not executed, code for each key is stored in memory Memory has an address and holds data Principal key designation Function keys Machine language – codes for keystrokes Central processing unit Program counter – holds address of next instruction to be executed
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3. 14159 sto 0. Place the constant on the stack
sto 0 Place the constant on the stack and store value in register r0 1 – Push 1, subtract, now TOP= rcl 0 Place value of r0 on stack, TOP= 7 – Push 7, subtract, TOP= * Multiply, TOP = rcl 0 Place value of r0 on stack, TOP= 11 – Push 11, subtract, TOP = / Divide, TOP =
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Memory Memory used to store program Memory locations are addressed
May compute memory addresses – unlike registers Registers may be selected – not indexed struct registers { int r0, r1, r2, r3, r4, r5, r6, r7, r8, r9; }
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Machine language • Program stored using machine language – key codes of the calculator • Central processing unit (CPU) executes the codes • Program counter (PC) holds address of next instruction to be executed
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Address M/C code Keystrokes Comment 000 – 001 44 0 sto 0 Store in register 0 002 1 Enter 1 003 30 - Subtract 45 0 rcl 0 Register 0 to stack 006 7 Enter 7 007 008 20 * Multiply 011 012 Make it 11 013 014 10 / Divide 43 32 g Rtn Return to calculator mode
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Calculator mode – codes (m/c lang.) sent to ALU
Program mode – codes (m/c lang.) sent to memory Each machine code is stored in one addressable memory location
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Macros • Macro processor m4 copies input to output expands macros
Macros defined using define macro – two arguments define(sto, 44 0) define(rcl, 45 0) define(div, 10)
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Macros may have up to 9 arguments
Specify arguments by $n If macro name followed immediately by ‘(‘, then arguments are present define(cat, $1$2$3$4$5) call it by: cat(a, b , c, d, e) ab cde call it by: cat(a , b , c) a b c
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This makes code easier to read
define(sto, 44 0) then sto always refers to r0 define(`sto', `44 $1') then call it as sto(0) This makes code easier to read Macros are essentially substitutions that can use arguments
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define(f, 42) define(g, 43) define(loc, 0) define(sto, `loc: 44 $1 define(`loc', eval(loc + 2))') define(rcl, `loc: 45 $1 define(`loc', eval(loc + 2))') define(div, `loc: 10 define(`loc', eval(loc + 1))') define(mul, `loc: 20 define(`loc', eval(loc + 1))')
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Address M/C code Assembly Code Comment 000 44 0 sto(0) Store in register 0 002 1 digit(1) Enter 1 003 30 sub Subtract 004 45 0 rcl(0) Register 0 to stack 006 7 digit(7) Enter 7 007 008 20 mul Multiply 009 011 012 Make it 11 013 014 10 div Divide 015 43 32 g rtn Return to calculator mode
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Practice Problem #1-1 Write postfix notation, assembly code and machine code to calculate the following expression
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Von Neumann Machine • Contains addressable memory for instructions and data • ALU executes instructions fetched from memory • PC register holds address for next instruction to execute Defined an instruction cycle
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CPU Memory I/O Von Neumann Model PC ALU Registers Data lines
Address lines Control lines Memory I/O Von Neumann Model
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Instruction Cycle pc = 0; do { instruction = memory[pc++];
decode (instruction); fetch (operands); execute; store (results); } while (instruction != halt);
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Stack Machine Stack architecture does not have registers
Use memory to place items onto stack Use push and pop operations for moving data between memory and the stack Must specify memory address MAR – memory address register MDR – memory data register IR – instruction register holds fetched instruction ALU uses top two elements on the stack for all computations
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Stack Machine Assume address 300 holds the value 3 and address 400 holds the value 4 push [300] push [400] add pop [300]
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Accumulator Machine Accumulator register used as source operand and destination operand Use load and store operations to move data from accumulator from/to memory No registers or stack Must access memory often
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Accumulator Machine Assume address 300 holds the value 3 and address 400 holds the value 4 load [300] add [400] store [300]
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Load Store Machine Initially memory limited to few hundred words
Access time to all locations was the same As memory size increased time vs. cost issue arose New designs included variable access times Register file – high speed memory
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Load Store Machine Use load and store instructions between registers and memory ALU functions on registers only Register file replaces the stack of the stack machine SPARC architecture is a load/store machine
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Load Store Machine Assume address 300 holds the value 3 and address 400 holds the value 4 load [300], r0 load [400], r1 add r0, r1, r0 store r0, [300]
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Assemblers An assembler is a macro processor to translate symbolic programs into machine language programs Symbols may be used before they are defined – unlike using m4 Two pass process Once to determine all symbol definitions Once to apply the definitions
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Symbols A symbol followed by a colon defines the symbol to have as its value the current value of the location counter The symbol is called a label
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define(y_r, r0) define(x_r, r1) define(a2_r, r2) define(a1_r, r3) define(a0_r, r4) define(temp_r, r5) start: mov 0, %x_r ! initialize x = 0 mov a2, %a2_r mov a1, %a1_r mov a0, %a0_r sub %x_r, %a2_r, %y_r ! (x-1) sub %x_r, %a1_r, %temp_r ! (x-7) mul %y_r, %temp_r, %y_r ! (x-1)*(x-7) sub %x_r, %a0_r, %temp_r ! (x-11) div %y_r, %temp_r, %y_r ! divide to compute y
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